Greatest Common Factor of 6219 and 6222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 6219, 6222 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6219 and 6222 is 3.

GCF(6219,6222) = 3

GCF of 6219 and 6222

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 6219 and 6222

GCF of 6219 and 6222 is 3

Prime Factorization of 6219


3 6219
3 2073
691 691
1

Prime factors of 6219 are 3,691. Prime factorization of 6219 in exponential form is:

6219 = 32×6911

Prime Factorization of 6222


2 6222
3 3111
17 1037
61 61
1

Prime factors of 6222 are 2,3,17,61. Prime factorization of 6222 in exponential form is:

6222 = 21×31×171×611

∴ So by taking common prime factors GCF of 6219 and 6222 is 3

Greatest Common Factor of 6219 and 6222 by matching factors method

Factors of 6219

List of positive integer factors of 6219 that divides 6219 without a remainder.

1,3,9,691,2073,6219

Factors of 6222

List of positive integer factors of 6222 that divides 6222 without a remainder.

1,2,3,6,17,34,51,61,102,122,183,366,1037,2074,3111,6222

Greatest Common Factor

We found the factors and prime factorization of 6219 and 6222. The biggest common factor number is the GCF number.
So the greatest common factor 6219 and 6222 is 3.

Also check out the Least Common Multiple of 6219 and 6222

Properties of GCF 6219 and 6222

(i) The GCF of 6219 and 6222 is associative

GCF of 6219 and 6222 = GCF of 6222 and 6219

Related Greatest Common Factor of 6219

Related Greatest Common Factor of 6222

Frequently Asked Questions on GCF of 6219 and 6222

1. What is the GCF of 6219 and 6222?

Answer: GCF of 6219 and 6222 is 3.

2. What are the Factors of 6219?

Answer: Factors of 6219 are 1, 3, 9, 691, 2073, 6219. There are 6 integers that are factors of 6219. The greatest factor of 6219 is 6219.

3. What are the Factors of 6222?

Answer: Factors of 6222 are 1, 2, 3, 6, 17, 34, 51, 61, 102, 122, 183, 366, 1037, 2074, 3111, 6222. There are 16 integers that are factors of 6222. The greatest factor of 6222 is 6222.

4. How to Find the GCF of 6219 and 6222?

Answer:

Greatest Common Factor of 6219 and 6222 = 3

Step 1: Find the prime factorization of 6219

6219 = 3 x 3 x 691

Step 2: Find the prime factorization of 6222

6222 = 2 x 3 x 17 x 61

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 6219 and 6222 is 3